InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
if `alpha` and `beta` are imaginary cube root of unity then prove `(alpha)^4 + (beta)^4 + (alpha)^-1 . (beta)^-1 = 0` |
|
Answer» Complex cube roots of unity are `omega,omega^(2)`. Let `alpha = omega, beta = omega^(2)`. Thne `alpha + beta^(2)+ alpha^(-1)beta^(-1)= omega^(4) +(omega^(2))^(4) +(omega^(-1))(omega^(2))^(-1)` `omega +omega^(2) + omega^(2) + 1=0` |
|